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Finding the Fourth Proportional to 478,350, 660,123 and 263,489.40

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Solution

The fourth proportional to 478,350, 660,123 and 263,489.40 is: 363,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,350 : 660,123 = 263,489.40 : x
  2. Step 2: Convert to fraction form
    478,350/660,123 = 263,489.40/x
  3. Step 3: Cross multiply
    478,350x = 660,123 × 263,489.40
  4. Step 4: Simplify right side
    478,350x = 173,935,413,196.20
  5. Step 5: Solve for x
    x = 173,935,413,196.20/478,350
  6. Step 6: Final answer
    x = 363,615.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.